Clay-Fields Conference on Additive Combinatorics, Number Theory, and Harmonic Analysis

April 5 - 13, 2008, The Fields Institute

Location: Fields Institute, Room 230

Description

Co-organized by the Clay Mathematics Institute.

Invited Speakers:

Tim Austin (University of California, Los Angeles)
Antal Balog (Renyi Institute)
Vitaly Bergelson (Ohio State University)
Jean Bourgain (IAS)
Boris Bukh (Princeton University)
Mei-Chu Chang (UC Riverside)
Alina Cojocaru (Illinois-Chicago)
Ernie Croot (Georgia Tech)
Nikos Frantzikinakis (Memphis)
Gregory Freiman (Tel Aviv University)
Hillel Furstenberg (Hebrew University)
Alexander Gamburd (UCSD)
Weidong Gao (Nankai)
Alexey Glibichuk (Moscow State University)
Ron Graham (UCSD)
Andrew Granville (U of Montreal)
Ben Green (Cambridge University)
Harald Helfgott (University of Bristol)
Bernard Host (Marne-la-Vallee)
Alex Iosevich (Missouri-Columbia)
Mihalis Kolountzakis (Crete)

Vsevolod Lev (Haifa)
Yu-Ru Liu (U of Waterloo)
Neil Lyall (University of Georgia)
Akos Magyar (U of Georgia)
Mate Matolcsi (Renyi Institute)
Alex Samorodnitsky (Hebrew U)
Tom Sanders (Cambridge-IAS)
Chun-Yen Shen (Indiana University Bloomington)
Ilya Shkredov (Moscow State)
Jozsef Solymosi (UBC)
Yonutz V. Stanchescu (Afeka College and Open University)
Balazs Szegedy (Toronto)
Endre Szemeredi (Rutgers University)
Terry Tao (UCLA)
Akshay Venkatesh (Courant)
Van Vu (Rutgers University)
Philip Matchett Wood (Rutgers University)
Mate Wierdl (University of Memphis)
Trevor Wooley (University of Bristol)
Tamar Ziegler (Technion)

SCHEDULE (tentative):
(Speakers Abstracts)

Schedule

Saturday, April 5th, 2008
09:00 to 10:00	Morning Coffee
10:00 to 10:45	No Title Specified Andrew Granville, Université de Montréal
10:45 to 11:00	Coffee Break
11:00 to 11:45	No Title Specified Trevor Wooley, University of Bristol
11:45 to 14:00	Lunch Break
14:00 to 14:20	Additive properties of product sets in finite fields Alexey Glibichuk, Moscow State University
14:30 to 14:50	Polynomial Frieman isomorphisms Philip Matchett Wood
14:50 to 15:30	Tea Break
15:30 to 16:15	Some Ramsey results for the n-cube Ron Graham, University of California at San Diego
16:30 to 17:15	The Koblitz Conjecture on average Alina Carmen Cojocaru, University of Illinois at Chicago
17:15 to 18:15	Reception and Cash Bar

Sunday, April 6th, 2008
09:00 to 10:00	Morning Coffee
10:00 to 10:45	Generalized polynomials and an Extension of the Polynomial Szemeredi Theorem Vitaly Bergelson, The Ohio State University
10:45 to 11:00	Coffee Break
11:00 to 11:45	Polynomial patterns in primes Tamar Ziegler
11:45 to 14:00	Lunch Break
14:00 to 14:20	On the exact structure of multidimensional sets with small doubling property Yonutz Stanchescu
14:30 to 14:50	Sums of dilates Boris Bukh, Princeton University
14:50 to 15:30	Tea Break
15:30 to 16:15	No Title Specified Van Vu, Yale University
16:30 to 17:15	Vinogradov's mean value theorem in function fields Yu-Ru Liu, University of Waterloo

Monday, April 7th, 2008
09:00 to 10:00	Morning Coffee
10:00 to 10:45	The Mobius-Nilsequences conjecture Terence Tao, University of California, Los Angeles
10:45 to 11:00	Coffee Break
11:00 to 11:45	Low degree tests at large distances Alex Samorodnitsky, Hebrew University
11:45 to 14:00	Lunch Break
14:00 to 14:45	On rich lines in grids Ernie Croot, Georgia Tech
14:50 to 15:30	Tea Break
15:30 to 16:15	Trigonometric sums with multiplicative coefficients Antal Balog, Alfred Renyi Institute of Mathematics
16:30 to 17:15	No Title Specified Mate Matolcsi, Alfréd Rényi Institute of Mathematics

Tuesday, April 8th, 2008
09:00 to 10:00	Morning Coffee
10:00 to 10:45	No Title Specified Terence Tao, University of California, Los Angeles
10:45 to 11:00	Coffee Break
11:00 to 11:45	No Title Specified Alexander Gamburd, University of California at San Diego
11:45 to 13:30	Lunch Break
13:30 to 13:50	No Title Specified Kevin Costello (IAS)
14:00 to 14:45	Random permutations in number theory Akshay Venkatesh, Institute for Advanced Studies and Stanford University
14:50 to 15:30	Tea Break
15:30 to 16:15	On the number of popular differences Vsevolod Lev
16:30 to 17:15	On a detailed structure of sumsets and difference sets Gregory Freiman, Tel Aviv University

Wednesday, April 9th, 2008
09:00 to 10:00	Morning Coffee
10:00 to 10:45	No Title Specified Mei-Chu Chang, UC Riverside
10:45 to 11:00	Coffee Break
11:00 to 11:45	Distribution of dot products in vector spaces in finite fields and applications to problems in additive number theory and geometric combinatorics Alex Iosevich, University of Missouri-Columbia and University of Rochester
11:45 to 13:30	Lunch Break
13:30 to 13:50	Quantitative sum-product estimates Chun-Yen Shen
14:00 to 14:45	Nilsequences in ergodic theory (joint work with B. kra) Bernard Host
14:50 to 15:30	Tea Break
16:30 to 18:00	Reception

Thursday, April 10th, 2008
09:00 to 10:00	Morning Coffee
10:00 to 10:45	Growth in SL_3 Harald Helfgott (University of Bristol)
11:00 to 11:45	Invariant measures and stiffness for non Abelian actions on tori Jean Bourgain, Institute for Advanced Studies
11:45 to 13:30	Lunch Break
13:30 to 13:50	A very brief look at the Density Hales-Jewett Theorem Tim Austin, University of California, Los Angeles
14:00 to 14:45	No Title Specified Jaroslav Nesetril (Prague)
14:50 to 15:30	Tea Break

Friday, April 11th, 2008
09:00 to 10:00	Morning Coffee
10:00 to 10:45	Exponential sums and Gowers Norms in finite field models Ben Green, University of Bristol
10:45 to 11:00	Coffee Break
11:00 to 11:45	Chowla's cosine problem in abelian groups Tom Sanders, University of Oxford
11:45 to 13:30	Lunch Break
13:30 to 13:50	On solution-free sets for simultaneous additive equations Matthew Smith (University of Georgia)
14:00 to 14:45	No Title Specified Jean Bourgain, Institute for Advanced Studies
14:50 to 15:30	Tea Break

Saturday, April 12th, 2008
09:00 to 10:00	Morning Coffee
10:00 to 10:45	No Title Specified Jozsef Solymosi, University of British Columbia
10:45 to 11:00	Coffee Break
11:00 to 11:45	The symmetry preserving regularity and removal lemmas Balázs Szegedy, University of Toronto
11:45 to 14:00	Lunch Break
14:00 to 14:45	Optimal polynomial return times Neil Lyall, University of Georgia
14:50 to 15:30	Tea Break
15:30 to 16:15	Bases of integers and Hardy fields Mate Wierdl, University of Memphis
16:30 to 17:15	Szemerédi's theorem, Hardy sequences, and nilmanifolds Nikos Frantzikinakis, University of Memphis

Sunday, April 13th, 2008
09:00 to 10:00	Morning Coffee
10:00 to 10:45	Zero-sum Problems in Abelian Groups Weidong Gao, Nankai University
10:45 to 11:00	Coffee Break
11:00 to 11:45	The discrepancy of a needle on a checkerboard Mihalis Kolountzakis, University of Crete
12:00 to 12:45	No Title Specified Endre Szemeredi (Rutgers)

Organizing Committee

David Ellwood - CMI, IAS, and Princeton University

Andrew Granville - Université de Montréal

Bryna Kra - Northwestern University

Izabella Laba - University of British Columbia

Trevor Wooley - University of Bristol

Scheduled as part of

Thematic Program on New Trends in Harmonic Analysis

The Fields Institute for
Research in Mathematical Sciences